8. Transfom the polynomial expression into standard form -7x + 3x² + 4x⁵-2x³+48
A. 8-7x + 3x - 2x + 4x
C. 4x 2x + 3x + B
B. 3x² + 4x 2X-7x + 8
D.7x+ 3x + 4x2x8​

The accurate statement about the graph is: Point D is a y-intercept of the graph.

Based on the given graph of y = -x + 1, the following statements about the graph are accurate:

Point A is a relative minimum of the graph:

False.

Point A is located at (-2, 3), and it is not the lowest point on the graph. Moving to the left or right of point A, the graph continues to decrease.

Point B is a turning point of the graph:

False.

Point B is not a turning point.

It is located at (-1, 2), and the graph does not change its direction or slope at this point.

Point C is a maximum of the graph:

False.

Point C is located at (2, -2), and it is not the highest point on the graph. Moving to the left or right of point C, the graph continues to increase.

Point D is a y-intercept of the graph:

True.

Point D is located at (0, 1), and it lies on the y-axis.

This point represents the y-intercept of the graph, where the value of x is zero.

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Answer:

5(2x+6)

on putting x=4

then.

5(2×4+6)

5(14)

70

i hope it is helpful

The value of the given expression 5(2x + 6) for x = 4 will be 70.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

5(2x + 6)

Put x = 4

5(2x + 6) = 5(2(4) + 6)

⇒ 5(8 + 6) = 5 × 14 = 70

Hence "The value of the given expression 5(2x + 6) for x = 4 will be 70".

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we need to use the distance between two points formula

P=(2,5)

then

x1=2

y1=5

Q(-1,-4)

then

x2=-1

y2=-4

Answer:

x=403

Step-by-step explanation:

Let's solve your equation 

Hey there! I'm happy to help!

We want to get x all by itself on one side to find out what it is equal to.

We add 5 to both sides.

3x=40

And we divide both sides by 3.

x=13 1/3

Have a wonderful day! :D

Answer:

Hence the total number of possible options available to a person who calls the 800 number is 216.

Step-by-step explanation:

Given that the caller 10 800 telephone system has six options. For each of these four options, three more options are available. For each of these three options, another three options are presented.

Hence the total number of possible options available to a person who calls the 800 number = \(6 \times 4 \times 3 \times 3 = 216\).

Answer:

g(6) = - 27

Step-by-step explanation:

Given

g(x) = - 2x - 15

g(6) = - 2 * 6 - 15 = - 12 - 15 = -27

Hope it will help :)

The solution to the quotient is 1 3/4

From the question, we have the following parameters that can be used in our computation:

7/4

To write the fraction 7/4 as a division problem, we can divide 7 by 4:

7 ÷ 4

To solve this division problem, we can perform the division operation:

7 ÷ 4 = 1 remainder 3

So the quotient of the division of 7 by 4 is 1 with a remainder of 3,

This can also be expressed as

7/4 = 1 3/4

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Since (-6, -8) is not a solution to both equations in the system, it is not a solution to the system of equations.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Now in the given question ,

We can check if (-6, -8) is a solution to the system of equations by plugging in these values for x and y in each equation and verifying if both equations are true.

For the first equation y = (1/2)x - 3, if we substitute x = -6 and y = -8, we get:

-8 = (1/2)(-6) - 3

-8 = -3 - 3

-8 = -6

This is not true, so (-6, -8) is not a solution to the first equation.

For the second equation y = (5/2)x + 7, if we substitute x = -6 and y = -8, we get:

-8 = (5/2)(-6) + 7

-8 = -15 + 7

-8 = -8

This equation is true, so (-6, -8) is a solution to the second equation.

Since (-6, -8) is not a solution to both equations in the system, it is not a solution to the system of equations.

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Answer:

Step-by-step explanation:

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

291

Step-by-step explanation:

2*2*2=8*2=16

16+(11*5*5)=291

Answer:

291cm^3

Step-by-step explanation:

11×5×5=275cm^3

2×2×2=8cm^3

8cm^3 + 8cm^3= 16cm^3

275+16=291cm^3

Answer:

Step-by-step explanation:

Refer to attached

Given:

We can see that:

and

So the corresponding angles are congruent and corresponding sides are similar

We can conclude that the triangles are similar

Answer: First one & 4th one.

Angle E corresponds to angle L.

The two triangles are similar.

Step-by-step explanation: Just did it. Both are correct!

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

The value of the x in the given equation is 3.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given an equation, \(120+18\frac{1}{4}x\) = \(180-1\frac{3}{4} x\)

120 + 73x/4 = 180 - 7x/4

60 = 73x/4 + 7x/4

60 = 80x/4

60 = 20x

x = 3

Hence, The value of the x in the given equation is 3.

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Answer:

Step-by-step explanation:

f(x) = x^2 => f'(x) = 2x

f(x) = x^3 => f'(x) = 3x^2

f(x) = x^4 => f'(x) = 4x^3

f(x) = x^5 => f'(x) = 5x^4

f(x) = x^6 => f'(x) = 6x^5

f(x) = x^7 => f'(x) = 7x^6

f(x) = x^8 => f'(x) = 8x^7

f(x) = x^9 => f'(x) = 9x^8

f(x) = x^10 => f'(x) = 10x^9

f(x) = x^-2 => f'(x) = -2x^-3 (Note: the power rule still applies for negative exponents)

Answer:

$21.50

Step-by-step explanation:

10% of $25 is $2.50

4% of $25 is (1% of 25)×4

4% of $25 = $0.25×4

4%=$1

10%+4%=14%

$2.50+$1=14%

$3.50=14%

$25-$3.50=£21.50

Since the optimal production level is within the company's maximum capacity of 150 items, the company should produce and sell 75 items to maximize profit.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the optimal production level a that maximizes profit, we need to determine the point at which marginal revenue equals marginal cost.

The marginal cost function is the derivative of the cost function, which is C'(a) = 50.

The marginal revenue function is the derivative of the revenue function, which is R'(a) = -0.5(3/8 - 110).

Setting these two equal and solving for a gives:

50 = -0.5(3/8 - 110)

a = 75

Since the optimal production level is within the company's maximum capacity of 150 items, the company should produce and sell 75 items to maximize profit.

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answer is d

I hope this helps:)

Answer:

g(n) = 180 - 20(n-1)

Step-by-step explanation:

Since your has its g(1) value as 180, we put 180 in front. Then, we subtract 20 multiplied by n-1, n being the sequence number. For example, if the recursive function has recursed 3 times, we do 3-1, which is 2. We multiply 2 with 20, which is 40. Finally, we subtract 40 from 180, which is 140. This equation is equivalent to g(3) = 180 - 20(3-1). When the sequence has g(3), we clearly see the answer is 140. When we look at the sequence, the third number is 140, proving this equation correct.

Answer: choice (B)

Step-by-step explanation:

(-4,4)

(0,5)

slope=  \(\frac{5-4}{0-(-4)}= \frac{1}{4}\)

Answer:

  the sum of the prices divided by 7

Step-by-step explanation:

The mean is the sum of the elements of a set, divided by the number of elements in the set. This set has 7 members, so its mean is ...

  the sum of the prices divided by 7

Answer:

A. 30% B. 45%

Step-by-step explanation:

A. 72,000/240,000 = x/100

(72,000)(100) = (240,000)x

7,200,000 = 240,000x

30 = x

B. 108,000/240,000 = x/100

10,800,000 = 240,000x

45 = x

Answer:

They are Alternate Interior angles

Step-by-step explanation:

The reson for this is because both Angel's are inside the parallel lines, and on Alternate sides.

^^

The matching is done below

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

1) 3 is the difference of 2 times d minus 3.

As, 2*d - 3

=2*3 - 3

=6 - 3

= 3

2) 4 is 4 added to the difference of d minus 3.

or, 4 + (d - 3)

or, 4 + (3 - 3)

or, 4 + 0 = 4

3) 0 is  the difference of d minus 3 divided by 2.

(d - 3)/2

= (3 - 3)/2

= 0/2

= 0

4) 2 is the quotient of 12 divided by the difference of 3 times d minus 3.

12/(3d - 3)

=12/(3*3 - 3)

=12/(9 - 3)

=12/6

= 2

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Answer:

Thus, the value of expression  is .

Step-by-step explanation:

Given : 3 + (2 + 8)power 2 ÷ 4 × 1 over 2 to the power of 4

Mathematically written as

We apply BODMAS,

Where ,

B stands for brackets

O stands for order

D stands for division

M stands for multiplication

A stand for addition

S stands for subtraction.

Consider the given expression,

Using BODMAS rule, solving for brackets first,

Thus, the value of expression  is

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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With these types of problems, it's all about luck. You have to try every combo you can think of before landing on the answer.

Fortunately, there aren't too many combos to try out. There's also a fairly methodical process to make sure you try every combo.

I'll start having the left parenthesis at the very left side. The right parenthesis will steadily march through the expression.

So far, no good. The goal of course is to get a result of 2. Let's now place the left parenthesis immediately after the 30. Like before, the right parenthesis will progress steadily through until we each the right most side.

We haven't found it here either.

Let's place the parenthesis just after the minus sign.

Still not what we want.

Let's place the parenthesis just after the multiplication symbol x.

We land on -2 which I think your teacher might have been going for. Unfortunately (as far as I can see), it's not possible to insert one set of parenthesis and have the expression 30-4x3+5 become 2.

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer:

56.7

Step-by-step explanation:

We know

mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.

For Tony's papers,

mean = sum / count

50 = sum / 40

multiply both sides by 40 to isolate the sum

sum = 50 * 40 = 2000

For Alice's papers,

mean = sum / count

70 = sum / 20

multiply both sides by 20 to isolate the sum

70 * 20 = sum = 1400

The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore

mean = sum / count

mean = 3400/60 ≈ 56.7

Answer:

3

: The term that completes the product so that it is the difference of squares is 3.